If - fi xi - 216- - fi - 16 and weighted mean - 12-5 - p- then the value of p will be

Given: nbsp;∑ f_i x_i = 216, ∑ f_i = 16 nbsp; and weighed mean = 12.5 + p Mean = ∑ f_i x_i/∑ f_i ⇒ 12.5 + p = 216/3 ⇒ 12.5 + p = 13.5 ⇒ p = 13.5 12.5 ⇒ p ...

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Standard X

Mathematics

Direct Method of Finding Mean

If ∑ fi xi = ...

Question

If $\sum f_{i} x_{i} = 216, \sum f_{i} = 16$ and weighted mean = 12.5 + p, then the value of p will be

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Solution

The correct option is D 1
Given: $\sum f_{i} x_{i} = 216, \sum f_{i} = 16$ and weighed mean = 12.5 + p
Mean = $\frac{\sum f_{i} x_{i}}{\sum f_{i}}$
$\Rightarrow 12.5 + p = \frac{216}{3}$
$\Rightarrow 12.5 + p = 13.5$
$\Rightarrow p = 13.5 - 12.5$
$\Rightarrow p = 1$
Hence, the correct answer is option d.

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If ∑fixi=216,∑fi=16 and weighted mean = 12.5 + p, then the value of p will be

The correct option is D 1Given: ∑fixi=216,∑fi=16 and weighed mean = 12.5 + p Mean = ∑fixi∑fi ⇒12.5+p=2163 ⇒12.5+p=13.5 ⇒p=13.5−12.5 ⇒p=1 Hence, the correct answer is option d.

If $\sum f_{i} x_{i} = 216, \sum f_{i} = 16$ and weighted mean = 12.5 + p, then the value of p will be